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Finding the Third Proportional to 480,842 and 761,388

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Solution

The third proportional to 480,842 and 761,388 is: 1,205,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,842 : 761,388 = 761,388 : x
  2. Step 2: Convert to fraction form
    480,842/761,388 = 761,388/x
  3. Step 3: Cross multiply
    480,842x = 761,388 × 761,388
  4. Step 4: Simplify right side
    480,842x = 579,711,686,544
  5. Step 5: Solve for x
    x = 579,711,686,544/480,842
  6. Step 6: Final answer
    x = 1,205,617.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.